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3 years ago

13

Find all numbers that are not in the domain of the function

1 answer:

leonid [27]3 years ago

6 0

Domain values represent possible x values that are allowed to be plugged in and produce a y value. The values (in this case value) that are not allowed to be plugged in are what make the denominator zero (since you cannot divide by zero). Simply set the denominator equal to zero to figure out this value.

3x + 8 = 0
3x = -8

x= -8/3, this value is not in the domain.

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Step-by-step explanation:

Let

L -----> the length of the base of the box

W -----> the width of the base of the box

H ----> the height of the box

we know that

The volume of the box is equal to

$V=LWH$

we have

$V=4,500\ cm^3$

so

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substitute equation B in equation A

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Convert to function notation

$f(W)=\frac{13,500}{W}+2W^2$

Find the derivative

$f'(W)=-\frac{13,500}{W^2}+4W$

set equal to zero

$f'(W)=0$

$0=-\frac{13,500}{W^2}+4W$

Solve for W

$\frac{13,500}{W^2}=4W$

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<em>Find the value of L (equation B)</em>

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<em>Find the value of H (equation C)</em>

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